Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-29T18:50:30.740Z Has data issue: false hasContentIssue false
  • English
  • Français

Three-dimensionality of organized structures in a plane turbulent wake

Published online by Cambridge University Press:  26 April 2006

Michio Hayakawa  and
Fazle Hussain
Michio Hayakawa
Affiliation:
Department of Mechanical Engineering II, Hokkaido University, Sapporo 060, Japan
Fazle Hussain
Affiliation:
Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper describes a quantitative study of the three-dimensional nature of organized motions in a turbulent plane wake. Coherent structures are detected from the instantaneous, spatially phase-correlated vorticity field using certain criteria based on size, strength and geometry of vortical structures. With several combinations of X-wire rakes, vorticity distributions in the spanwise and transverse planes are measured in the intermediate region (10d [les ] x [les ] 40d) of the plane turbulent wake of a circular cylinder at a Reynolds number of 13000 based on the cylinder diameter d. Spatial correlations of smoothed vorticity signals as well as phase-aligned ensemble-averaged vorticity maps over structure cross-sections yield a quantitative measure of the spatial coherence and geometry of organized structures in the fully turbulent field. The data demonstrate that the organized structures in the nominally two-dimensional wake exhibit significant three-dimensionality even in the near field. Using instantaneous velocity and vorticity maps as well as correlations of vorticity distributions in different planes, some topological features of the dominant coherent structures in a plane wake are inferred.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 206 , September 1989 , pp. 375 - 404
Copyright
© 1989 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Antonia, R. A. 1987 In Proc. 2nd Symp. on Transport Phenomena in Turbulent Flows p. 339. Tokyo University.
Antonia, R. A., Browne, L. W. B., Bisset, D. K. & Fulachier, L. 1987 J. Fluid Mech. 184, 423.
Armstrong, B. G., Barnes, F. H. & Grant, I. 1987 Phys. Fluids 30, 19.
Bernal, L. P. & Roshko, A. 1986 J. Fluid Mech. 170, 499.
Bonnet, J. P., Delville, J. & Garem, H. 1986 Exp. Fluids 4, 189.
Breidenthal, R. 1980 Phys. Fluids 23, 1929.
Browand, F. K. & Troutt, T. R. 1985 J. Fluid Mech. 158, 489.
Brown, G. & Roshko, A. 1974 J. Fluid Mech. 64, 775.
Browne, L. W. B., Antonia, R. A. & Bisset, D. K. 1986 Phys. Fluids 29, 3612.
Cantwell, B. & Coles, D. 1983 J. Fluid Mech. 136, 321.
Cimbala, J. M., Nagib, H. M. & Roshko, A. 1988 J. Fluid Mech. 190, 265.
Coles, D. 1982 In Surveys in Fluid Mechanics (ed. R. Narashima & S. M. Deshpande), p. 17. Ind. Acad. Sci.
Coles, D. 1984 In Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), p. 397. North-Holland.
Corcos, G. M. & Lin, S. J. 1984 J. Fluid Mech. 139, 67.
Grant, H. L. 1958 J. Fluid Mech. 4, 149.
Grinstein, F. F., Oran, E. & Hussain, A. K. M. F. 1987 In Proc. 6th Symp. on Turbulent Shear Flows. Toulouse. Université Paul Sabatier.
Hayakawa, M. & Hussain, A. K. M. F. 1985 In Proc. 5th Symp. on Turbulent Shear Flows, p. 4.33. Cornell University.
Hayakawa, M. & Hussain, A. K. M. F. 1986 In Proc. 3rd Asian Congr. Fluid Mech. (ed. T. Matsui), p. 206. H. Sato.
Head, M. R. & Bandyopadhyay, P. 1981 J. Fluid Mech. 107, 297.
Hussain, A. K. M. F. 1980 In Role of Coherent Structures in Modelling Turbulence and Mixing (ed. J. Jimenez). Lecture Notes in Physics, vol. 136, p. 252. Springer.
Hussain, A. K. M. F. 1983 Phys. Fluids 26, 2816.
Hussain, A. K. M. F. 1984 In Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), p. 453. North-Holland.
Hussain, A. K. M. F. 1986 J. Fluid Mech. 173, 303.
Hussain, A. K. M. F. & Hayakawa, M. 1987 J. Fluid Mech. 180, 193 (referred to as HH).
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1981 J. Fluid Mech. 110, 39.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1982 Rep. FM-14. University of Houston; see also J. Fluid Mech. 159, 85 (1985).
Jimenez, J. 1987 J. Fluid Mech. 178, 177.
Jimenez, J., Cogollos, M. & Bernal, L. P. 1985 J. Fluid Mech. 152, 125.
Katz, K. & O'Hern, T. J. 1986 Trans. ASMEI: J. Fluids Engng 108, 373.
Kida, S. 1982 J. Fluid Mech. 122, 487.
Kiya, M., & Matsumura, M. 1985 Bull. JSME 28, 2617.
Kiya, M. & Matsumura, M. 1988 J. Fluid Mech. 190, 343.
LaRue, J. C. & Libby, P. A. 1974 Phys. Fluids 17, 873.
Lasheras, J. C., Cho, J. S. & Maxworthy, T. 1986 J. Fluid Mech. 172, 231.
Lin, S. J. & Corcos, G. M. 1984 J. Fluid Mech. 141, 139.
Matsui, T. 1982 In Surveys in Fluid Mechanics (ed. R. Narashima & S. M. Deshpande), p. 145. Ind. Acad. Sci.
Matsui, T. & Okude, M. 1981 In Proc. 7th Symp. on Turbulence, p. 303. University of Missouri-Rolla.
Meiron, D. I., Saffman, P. G. & Schatzman, J. C. 1984 J. Fluid Mech. 147, 187.
Metcalfe, R. W., Hussain, A. K. M. F., Menon, S. & Hayakawa, M. 1987a In Turbulent Shear Flows, Vol. 5 (ed. F. Durst et al.), 110, Springer.
Metcalfe, R. W., Orszag, S. A., Brachet, M. E., Menon, S. & Rilly, J. J. 1987b J. Fluid Mech. 184, 207.
Moin, P. & Kim, J. 1985 J. Fluid Mech. 155, 441.
Mumford, J. C. 1983 J. Fluid Mech. 137, 447.
Neu, J. C. 1984 J. Fluid Mech. 143, 253.
Pierrehumbert, R. T. & Widnall, S. E. 1982 J. Fluid Mech. 114, 59.
Robinson, A. C. & Saffman, P. G. 1982 J. Fluid Mech. 125, 411.
Rogers, M. M. & Moin, P. 1987 J. Fluid Mech. 176, 33.
Roshko, A. 1976 AIAA J. 14, 1349.
Saffman, P. G. 1981 J. Fluid Mech. 106, 49.
Savill, A. M. 1983 In Structure of Complex Turbulent Shear Flows (ed. R. Dumas & L. Fulachier), p. 185. Springer.
Takaki, R. & Husaain, A. K. M. F. 1985 In Proc. 5th Symp. Turbulent Shear Flows, p. 3.19. Cornell University.
Taneda, S. 1959 J. Phys. Soc. Japan 14, 843.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1979 J. Fluid Mech. 95, 515.
Tso, J. 1983 Coherent structures in a fully-developed turbulent axisymmetric jet. Ph.D. thesis, The Johns Hopkins University.
Tso, J. & Hussain, F. 1989 J. Fluid Mech. 202, 225.
Wallace, J. M. 1986 Exp. Fluids 4, 61.
Wei, T. & Smith, C. R. 1986 J. Fluid Mech. 169, 513.
Wygnanski, I., Champagne, F. & Marasli, B. 1986 J. Fluid Mech. 168, 31.
Wygnanski, I., Oster, D., Fiedler, H. & Dziomba, B. 1979 J. Fluid Mech. 93, 325.